Ouidad Filali, Francesco Lemma
Published 2016-08-29Version 1
We interpret the "explicit formula" in the sense of analytic number theory for the zeta function of an ordinary abelian variety of dimension g over a finite field as a transversal index theorem on a (2g+1)-dimensional Riemannian foliated space. This generalizes a work of Deninger for elliptic curves.
On the nature of the "explicit formulas" in analytic number theory - a simple example
Estimates of the bounds of $π(x)$ and $π((x+1)^{2}-x^{2})$
Computing zeta functions over finite fields
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